Deborah is x years old and Sarah is y years old. The sum of their age is 58. if Deborah is 4 years younger than Sarah, find the age of both women
impatient much?
Once is enough, thank you.
Repeated postings will not get faster or better responses.
and of course, the bot can't solve the same problem twice in the same way ...
To solve this problem, we can set up a system of equations based on the given information.
Let's represent Deborah's age as x and Sarah's age as y.
According to the problem, the sum of their ages is 58. So the first equation is:
x + y = 58
The problem also mentions that Deborah is 4 years younger than Sarah. Therefore, the second equation is:
x = y - 4
We can now solve this system of equations to find the values of x and y.
Using the second equation, we can substitute x with y - 4 in the first equation:
(y - 4) + y = 58
Simplifying the equation:
2y - 4 = 58
Adding 4 to both sides:
2y = 62
Dividing both sides by 2:
y = 31
Now, substitute the value of y back into the second equation to find x:
x = 31 - 4
x = 27
Therefore, Deborah is 27 years old and Sarah is 31 years old.
To solve this problem, we can set up a system of two equations based on the given information.
Let's assume that Deborah's age is represented by x, and Sarah's age is represented by y.
From the given information, we can form the following two equations:
Equation 1: The sum of their ages is 58.
x + y = 58
Equation 2: Deborah is 4 years younger than Sarah.
x = y - 4
Now, we can solve this system of equations using substitution or elimination.
Substitution method:
Substitute the value of x from Equation 2 into Equation 1:
(y - 4) + y = 58
2y - 4 = 58
2y = 58 + 4
2y = 62
y = 62/2
y = 31
Now, substitute the value of y into Equation 2 to find the value of x:
x = 31 - 4
x = 27
Therefore, Deborah is 27 years old, and Sarah is 31 years old.
Sarah's age = 58 - 4 = 54
Deborah's age = 54 - 4 = 50